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Popular >

derivative of 2x^4-6x^3-12x-8

Solution

\frac{d}{d x} (2 x^{4} - 6 x^{3} - 12 x - 8)

Solution

8 x^{3} - 18 x^{2} - 12

Solution steps

\frac{d}{d x} (2 x^{4} - 6 x^{3} - 12 x - 8)

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (2 x^{4}) - \frac{d}{d x} (6 x^{3}) - \frac{d}{d x} (12 x) - \frac{d}{d x} (8)

\frac{d}{d x} (2 x^{4}) = 8 x^{3}

\frac{d}{d x} (6 x^{3}) = 18 x^{2}

\frac{d}{d x} (12 x) = 12

\frac{d}{d x} (8) = 0

= 8 x^{3} - 18 x^{2} - 12 - 0

Simplify

= 8 x^{3} - 18 x^{2} - 12

Graph

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Frequently Asked Questions (FAQ)

What is the derivative of 2x^4-6x^3-12x-8 ?
The derivative of 2x^4-6x^3-12x-8 is 8x^3-18x^2-12
What is the first derivative of 2x^4-6x^3-12x-8 ?
The first derivative of 2x^4-6x^3-12x-8 is 8x^3-18x^2-12